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Finding the Fourth Proportional to 27,596.78, 38,084.25 and 15,021.50

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Solution

The fourth proportional to 27,596.78, 38,084.25 and 15,021.50 is: 20,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.78 : 38,084.25 = 15,021.50 : x
  2. Step 2: Convert to fraction form
    27,596.78/38,084.25 = 15,021.50/x
  3. Step 3: Cross multiply
    27,596.78x = 38,084.25 × 15,021.50
  4. Step 4: Simplify right side
    27,596.78x = 572,082,561.38
  5. Step 5: Solve for x
    x = 572,082,561.38/27,596.78
  6. Step 6: Final answer
    x = 20,730.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.